On the Cramer-Rao lower bound for RSS-based positioning in wireless cellular networks |
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| Affiliation: | 1. Faculty of Electrical Engineering, University of Banja Luka, Banja Luka, Bosnia and Herzegovina;2. Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Trondheim, Norway;3. RT-RK Institute for Computer Based Systems, Novi Sad, Serbia;1. Institute for Telecommunications Research, School of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes, SA 5095, Australia;2. School of Engineering, University of South Australia, Mawson Lakes, SA 5095, Australia;3. Cyber and Electronic Warfare Division, DST Group, Australia;1. Sorbonne Universités, UPMC Univ Paris 06, UMR 8235, Laboratoire Interfaces et Systèmes Electrochimiques, F-75005, Paris, France;2. CNRS, UMR 8235, LISE, F-75005, Paris, France;1. Department of Computer & Information Science Universiti Teknologi, PETRONAS, Malaysia Department of Computer Science;2. National University of Modern Languages, Pakistan;1. Southeast Environmental Research Center, Florida International University, 11200 SW 8th Street, Miami, FL 33199, USA;2. Marine Science Program, Department of Chemistry and Biochemistry, Florida International University, MSB 250C, 3000 NE 151 Street, North Miami, FL 33181, USA;3. Faculty of Environmental Earth Science, Hokkaido University, Sapporo, Hokkaido 060-0810, Japan |
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| Abstract: | An accurate position of a mobile user's location is substantial in wireless cellular networks with respect to location based services (LBS) implementation. Among the available parameters used to estimate a desired location, low cost measurement of received signal strength (RSS) makes it suitable for outdoor and indoor positioning. Our aim here is to look at the performance of a theoretically optimal user's position estimator. We examine the Cramer-Rao lower bound (CRLB), which sets the lowest variance of any unbiased estimator. Due to the oversimplification with respect to reliance on detailed cognizance of environment, we deploy theoretical free-space and empirical COST-231-Hata, Stanford University Interim (SUI) and ECC-33 path loss models that are dominantly used in real scenarios aiming to form the system model equations. The findings show that the CRLB on estimation precision depends on the underlying path loss exponents (PLE) and the relative positions of the mobile and base stations. The calculated bounds provide a benchmark against which it is possible to evaluate different positioning algorithms, techniques and estimators relying on the specified path loss models. |
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| Keywords: | Cramer-Rao lower bound (CRLB) Position estimation Propagation model Received signal strength (RSS) |
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